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Finding the Fourth Proportional to 4.19, 5.78 and 3.10

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Solution

The fourth proportional to 4.19, 5.78 and 3.10 is: 4.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.19 : 5.78 = 3.10 : x
  2. Step 2: Convert to fraction form
    4.19/5.78 = 3.10/x
  3. Step 3: Cross multiply
    4.19x = 5.78 × 3.10
  4. Step 4: Simplify right side
    4.19x = 17.93
  5. Step 5: Solve for x
    x = 17.93/4.19
  6. Step 6: Final answer
    x = 4.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.